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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.6 Related Rates.

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Presentation on theme: "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.6 Related Rates."— Presentation transcript:

1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.6 Related Rates

2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 2 Quick Review

3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 3 Quick Review Solutions

4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 4 What you’ll learn about Related Rate Equations Solution Strategy Simulating Related Motion …and why Related rate problems are at the heart of Newtonian mechanics; it was essentially to solve such problems that calculus was invented.

5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 5 Strategy for Solving Related Rate Problems

6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 6 Strategy for Solving Related Rate Problem

7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Finding Related Rate Equations Slide 4- 7

8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Problem 3 Slide 4- 8

9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall A Rising Balloon Slide ft h 

10 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Balloon Rising Continued Slide ft h 

11 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 11 Slide 4- 11

12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example A Highway Chase

13 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example A Highway Chase (cont’d)

14 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 13 Slide 4- 14

15 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 13 Answer Slide 4- 15

16 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall The Ladder A 10 ft ladder is pulled from the bottom at a constant rate of 0.1 m/s. The ladder does not pull away from the wall at any time. What speed is the top of the ladder moving as a function of time. Slide 4- 16

17 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Additional Slide 4- 17

18 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

19 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

20 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

21 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

22 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

23 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

24 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

25 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

26 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

27 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

28 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test

29 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions

30 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions

31 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions

32 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions

33 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Chapter Test Solutions


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